Question

the ratio of length of the corresponding side of two regular polygons 3:4 The area of the larger polygon is 320m2 what is the area of the smaller polygon

Answer 1

180 m

Explanation:

Answer 2

If the ratio of sides is 3/4, the ratio of areas is (3/4)² = 9/16.

The area of the smaller polygon is (9/16)*(320 m²) = 180 m².

_____
"Regular" is not a sufficient descriptor to guarantee the polygons are similar. A quadrilateral and a hexagon can both be regular polygons, but their areas will have quite a different ratio from that assumed above. We assume the polygons are similar.